'Homogenous coordinates' diaporamas de présentation

Geometric Transformations

Geometric Transformations. Chun-Yuan Lin. Introduction. Now, we tale a look at transformation operations that we can apply to objects to reposition or resize them.

1.41k views • 140 slides

Generalized Barycentric Coordinates

Generalized Barycentric Coordinates. Dr. Scott Schaefer. Barycentric Coordinates. Given find weights such that are barycentric coordinates. Barycentric Coordinates. Given find weights such that are barycentric coordinates. Homogenous coordinates.

1.07k views • 98 slides

CAP4730: Computational Structures in Computer Graphics

CAP4730: Computational Structures in Computer Graphics. 2D Transformations. 2D Transformations. World Coordinates Translate Rotate Scale Viewport Transforms Putting it all together. Transformations. Rigid Body Transformations - transformations that do not change the object. Translate

476 views • 47 slides

Image formation

361 views • 35 slides

3D Viewing

3D Viewing. Perspective Projections. Single Point Perspective. COP on X-axis. COP (-1/p 0 0 1) VP x (1/p 0 0 1). 3D Viewing. Perspective Projections. Two Point Perspective. 3D Viewing. Perspective Projections. Three Point Perspective. 3D Viewing. Perspective Projections. Y. X. Z.

429 views • 28 slides

Projective 2D geometry course 2

Projective 2D geometry course 2. Multiple View Geometry Comp 290-089 Marc Pollefeys. Content. Background : Projective geometry (2D, 3D), Parameter estimation, Algorithm evaluation. Single View : Camera model, Calibration, Single View Geometry.

519 views • 28 slides

CS 4731: Computer Graphics Lecture 8: 3D Affine transforms

CS 4731: Computer Graphics Lecture 8: 3D Affine transforms. Emmanuel Agu. Introduction to Transformations. Introduce 3D affine transformation: Position (translation) Size (scaling) Orientation (rotation) Shapes (shear) Previously developed 2D (x,y) Now, extend to 3D or (x,y,z) case

423 views • 28 slides

383 views • 28 slides

2D Translation

6. 5. 4. Y. 3. 2. 1. dx = 2 dy = 3. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. X. 2D Translation. Note: House shifts position relative to origin. A translation is applied to an object by repositioning

380 views • 21 slides

Geometric Transformations

269 views • 12 slides

3D Geometric Transformation

3D Geometric Transformation. N. Point in 3D space Position (x, y, z) Color (r, g, b) Normal (Nx, Ny, Nz) Homogenous Coordinates Position (x,y,z,w) Usually (x,y,z,1) Transformations Translation Scaling Rotation Projection. (x,y,z). 3D Translation. T(dx,dy,dz)=. 1 0 0 dx

419 views • 9 slides